Linear and nonlinear stability analysis of binary Maxwell fluid convection in a porous medium |
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Authors: | Mahesha Narayana P Sibanda S S Motsa P A Lakshmi-Narayana |
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Institution: | (1) School of Mathematical Sciences, University of KwaZulu-Natal, P Bag X01, Scottsville, Pietermaritzburg, 3209, South Africa; |
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Abstract: | The stability analysis of the quiescent state in a Maxwell fluid-saturated densely packed porous medium subject to vertical
concentration and temperature gradients is presented. A single phase model with local thermal equilibrium between the porous
matrix and the Maxwell fluid is assumed. The critical Darcy–Rayleigh numbers and the corresponding wave numbers for the onset
of stationary and oscillatory convection are determined. A Lorenz like system is obtained for weakly nonlinear stability analysis. |
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